DLMF:27.12.E7 (Q8091)

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No description defined

Language	Label	Description	Also known as
English	DLMF:27.12.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left|\pi\left(x\right)-\mathrm{li}\left(x\right)% \right|<\frac{1}{8\pi}\sqrt{x}\,\ln x.}}

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DLMF:27.12.E7

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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logarithmic integral

Defining formula

{\displaystyle{\displaystyle\mathrm{li}\left(\NVar{x}\right)}}

C6.S2.E8.m2abdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2aedec

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number of primes not exceeding $$x$$

Defining formula

{\displaystyle{\displaystyle\pi\left(\NVar{x}\right)}}

C27.S2.E2.m2addec

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Defining formula

{\displaystyle{\displaystyle x}}

C27.S1.XMD6.m1ddec

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Sitelinks

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